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Finding the Third Proportional to 7,846,348 and 16,895,006

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Solution

The third proportional to 7,846,348 and 16,895,006 is: 36,378,864.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846,348 : 16,895,006 = 16,895,006 : x
  2. Step 2: Convert to fraction form
    7,846,348/16,895,006 = 16,895,006/x
  3. Step 3: Cross multiply
    7,846,348x = 16,895,006 × 16,895,006
  4. Step 4: Simplify right side
    7,846,348x = 285,441,227,740,036
  5. Step 5: Solve for x
    x = 285,441,227,740,036/7,846,348
  6. Step 6: Final answer
    x = 36,378,864.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.